Details

sample37.0ms

Algorithm

intervals

Results

11.0ms	246×	body	80	valid
3.0ms	17×	body	640	valid
2.0ms	15×	body	320	valid
1.0ms	7×	body	1280	valid
1.0ms	14×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	20	13
2	45	13
3	111	13
4	292	13
5	864	13
6	3373	13
done	5000	13

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
3.8b	(+ x (/ (* (- y x) (- z t)) (- a t)))
18.9b	(/ (* (- y x) (- z t)) (- a t))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`flip3--` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/l/`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 81

Calls

3 calls:

39.0ms	(* (- y x) (- z t))
21.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
38.0ms	(/ (* (- y x) (- z t)) (- a t))

series485.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* (- y x) (- z t))
266.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
161.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify1.3s

Counts

90 → 90

Iterations

Useful iterations: 2 (382.0ms)

Iter	Nodes	Cost
0	162	1284
1	480	1213
2	2662	1111
done	5000	1111

prune266.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.5b	(* (- y x) (/ (- z t) (- a t)))
3.8b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 119

Calls

3 calls:

37.0ms	(/ (- z t) (- a t))
86.0ms	(* (- y x) (/ (- z t) (- a t)))
8.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series472.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ (- z t) (- a t))
175.0ms	(* (- y x) (/ (- z t) (- a t)))
241.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify1.6s

Counts

128 → 128

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	183	1813
1	504	1716
2	2628	1612
done	5000	1606

prune361.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a t))
0.3b	(* (- z t) (/ 1 (- a t)))
1.5b	(* (- y x) (* (- z t) (/ 1 (- a t))))
5.8b	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`frac-times` `add-cbrt-cube`
17×	`flip3--` `flip--`
13×	`prod-exp`
12×	`pow1`
10×	`associate-r/` `associate-l` `associate-l/`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`div-exp` `add-log-exp`
5×	`associate-/r*`
4×	`pow-prod-down` `associate-/r/` `un-div-inv`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 146

Calls

4 calls:

18.0ms	(/ 1 (- a t))
52.0ms	(* (- z t) (/ 1 (- a t)))
78.0ms	(* (- y x) (* (- z t) (/ 1 (- a t))))
10.0ms	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

series536.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ 1 (- a t))
62.0ms	(* (- z t) (/ 1 (- a t)))
179.0ms	(* (- y x) (* (- z t) (/ 1 (- a t))))
242.0ms	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

simplify5.1s

Counts

158 → 158

Iterations

Useful iterations: done (5.0s)

Iter	Nodes	Cost
0	221	2286
1	619	2041
2	4386	1722
done	5000	1716

prune436.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.5b	(* (- y x) (* 1 (/ (- z t) (- a t))))
3.8b	(+ x (* (- y x) (* 1 (/ (- z t) (- a t)))))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
19×	`add-exp-log`
16×	`add-cube-cbrt`
14×	`add-cbrt-cube`
13×	`distribute-lft-out--` `difference-of-squares`
9×	`prod-exp`
8×	`pow1`
5×	`associate-l` `associate-/r` `cbrt-unprod` `associate-/l` `add-log-exp`
4×	`flip3--` `associate-*r/` `flip--`
3×	`div-exp` `pow-prod-down`
2×	`cbrt-undiv` `frac-times` `1-exp` `associate-*l/` `associate-/r/` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r` `clear-num` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

3 → 92

Calls

3 calls:

36.0ms	(/ (- z t) (- a t))
94.0ms	(* (- y x) (* 1 (/ (- z t) (- a t))))
14.0ms	(+ x (* (- y x) (* 1 (/ (- z t) (- a t)))))

series540.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(/ (- z t) (- a t))
198.0ms	(* (- y x) (* 1 (/ (- z t) (- a t))))
256.0ms	(+ x (* (- y x) (* 1 (/ (- z t) (- a t)))))

simplify1.5s

Counts

101 → 101

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	179	1560
1	484	1379
2	2257	1263
done	5002	1257

prune273.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 4.0b

regimes308.0ms

Accuracy

13.7% (6.9b remaining)

Error of 11.5b against oracle of 4.5b and baseline of 12.6b

bsearch138.0ms

Steps

Iters	Range		Point
9	2.0512714046454485e-79	8.745691868853264e-72	2.3526499512229298e-79
9	-4.023742427588799e-72	-3.423910276334862e-77	-3.4522393140870173e-77

simplify5.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	25	51
1	36	35
2	37	35
done	37	35

end0.0ms

sample1.7s

Algorithm

intervals

Results

704.0ms	7674×	body	80	valid
140.0ms	514×	body	640	valid
116.0ms	311×	body	1280	valid
74.0ms	459×	body	320	valid
29.0ms	264×	body	160	valid
6.0ms	16×	body	2560	valid